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Finding the Fourth Proportional to 1,020.56, 1,530.37 and 327.09

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Solution

The fourth proportional to 1,020.56, 1,530.37 and 327.09 is: 490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.56 : 1,530.37 = 327.09 : x
  2. Step 2: Convert to fraction form
    1,020.56/1,530.37 = 327.09/x
  3. Step 3: Cross multiply
    1,020.56x = 1,530.37 × 327.09
  4. Step 4: Simplify right side
    1,020.56x = 500,568.72
  5. Step 5: Solve for x
    x = 500,568.72/1,020.56
  6. Step 6: Final answer
    x = 490.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.